The height of a cone is equal to the diameter of the base. what expression represents the volume of the cone, in cubic units? πx3 πx2 2πx3 4πx3

The formula for a cone is given as:

V = π r^2 h / 3                    ---> 1

Where,

V = volume of the cone

r = radius of the circle base of the cone

h = is the perpendicular length from the center of the base of the cone to the tip at the top

It was given that:

h = d

but d = 2 r, therefore:

h = 2 r

Substituting this to equation 1:

V = π r^2 (2 r) / 3             

V = 2 π r^3 / 3

Since r = x, the answer from the choices is:

2πx3

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step-by-step explanation:

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